Question

The binary number expression of the decimal number$31$ is

• A. $1111$
• B. $10111$
• C. $11011$
• D. $11111$

Answer 1

The correct option is D

$11111$

Correct option: (d)$11111$

In the binary system, we use $1$ and $0$ to represent numbers.

To convert decimal number to binary, divide the given decimal number by $2$ and note down the remainder.

Now, divide the obtained quotient by $2$, and note the remainder again.

Repeat the steps until you get$0$ as the quotient.

Write the remainders in such a way that the last remainder is written first, followed by the rest in the reverse order.

division	quotient	remainder
$\frac{31}{2}$	$15$	$1$
$\frac{15}{2}$	$7$	$1$
$\frac{7}{2}$	$3$	$1$
$\frac{3}{2}$	$1$	$1$
$\frac{1}{2}$	$0$	$1$

Arrange the remainders in reverse order.

We get$11111$

So binary number equivalent to$31$ is $11111$

Hence, the correct option is (d)